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PreprintCC BY 4.0arXiv

Classification of Double Saddle-Point Systems

Abstract

We offer a classification of a broad and practically relevant class of symmetric double saddle-point system. At the core of the paper is the division of the associated matrices into ``block-arrow'' and ``block-tridiagonal'' forms. We describe relevant applications, invertibility conditions, spectral properties, and block preconditioners. Our discussion is kept within a general framework rather than tailored to specific applications.

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BibTeX
@misc{bradley2026classification,
  title = {{Classification of Double Saddle-Point Systems}},
  author = {Susanne Bradley and Chen Greif},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.14157},
  eprint = {2605.14157},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.14157},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Classification of Double Saddle-Point Systems
AU  - Susanne Bradley
AU  - Chen Greif
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2605.14157
UR  - https://arxiv.org/abs/2605.14157
AB  - We offer a classification of a broad and practically relevant class of symmetric double saddle-point system. At the core of the paper is the division of the associated matrices into ``block-arrow'' and ``block-tridiagonal'' forms. We describe relevant applications, invertibility conditions, spectral properties, and block preconditioners. Our discussion is kept within a general framework rather than tailored to specific applications.
ER  -